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Finding the Third Proportional to 429,031.13 and 923,735.25

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Solution

The third proportional to 429,031.13 and 923,735.25 is: 1,988,869.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,031.13 : 923,735.25 = 923,735.25 : x
  2. Step 2: Convert to fraction form
    429,031.13/923,735.25 = 923,735.25/x
  3. Step 3: Cross multiply
    429,031.13x = 923,735.25 × 923,735.25
  4. Step 4: Simplify right side
    429,031.13x = 853,286,812,092.56
  5. Step 5: Solve for x
    x = 853,286,812,092.56/429,031.13
  6. Step 6: Final answer
    x = 1,988,869.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.